%0 Book Section %1 statphys23_0842 %A Materassi, M. %A Consolini, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K calculus fractional physics plasma statphys23 topic-11 %T A fractional calculus approach to Magnetic Reconnection Process in Space Plasmas %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=842 %X Many space plasmas scenarios display fast reconnection processes, the comprehension of which is still under debate. All the traditional scenarios attempting to describe magnetic reconnection assume that the plasma taking part to the process may be described via a mass distribution almost everywhere analytical. In this work, we instead explore the consequences of assuming that the distribution of the plasma involved is an irregular measure. The magnetic reconnection rate is calculated accordingly via an application of fractional calculus in the framework of resistive MHD, and shows new features that seem to be very much pointing towards a faithful representation of the reconnection phenomenology. The authors interpret these results as suggesting a wide use of fractional calculus in the space plasma processes, with theoretical motivations.

@incollection{statphys23_0842, abstract = {Many space plasmas scenarios display fast reconnection processes, the comprehension of which is still under debate. All the traditional scenarios attempting to describe magnetic reconnection assume that the plasma taking part to the process may be described via a mass distribution almost everywhere analytical. In this work, we instead explore the consequences of assuming that the distribution of the plasma involved is an irregular measure. The magnetic reconnection rate is calculated accordingly via an application of fractional calculus in the framework of resistive MHD, and shows new features that seem to be very much pointing towards a faithful representation of the reconnection phenomenology. The authors interpret these results as suggesting a wide use of fractional calculus in the space plasma processes, with theoretical motivations.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Materassi, M. and Consolini, G.}, biburl = {https://www.bibsonomy.org/bibtex/2b5aa63cc04dc6700bcd96efd8a89828e/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {69cdc8476e7151bbedfc34ebbd42b3d2}, intrahash = {b5aa63cc04dc6700bcd96efd8a89828e}, keywords = {calculus fractional physics plasma statphys23 topic-11}, month = {9-13 July}, timestamp = {2007-06-20T10:16:30.000+0200}, title = {A fractional calculus approach to Magnetic Reconnection Process in Space Plasmas}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=842}, year = 2007 }